Home / 1,513.24-2,270.94-539.35

Finding the Fourth Proportional to 1,513.24, 2,270.94 and 539.35

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Solution

The fourth proportional to 1,513.24, 2,270.94 and 539.35 is: 809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.24 : 2,270.94 = 539.35 : x
  2. Step 2: Convert to fraction form
    1,513.24/2,270.94 = 539.35/x
  3. Step 3: Cross multiply
    1,513.24x = 2,270.94 × 539.35
  4. Step 4: Simplify right side
    1,513.24x = 1,224,831.49
  5. Step 5: Solve for x
    x = 1,224,831.49/1,513.24
  6. Step 6: Final answer
    x = 809.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.